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在结构优化过程中,精确的结构参数灵敏度分析是最主要的困难之一。该文在Hamilton体系下推导了复合材料层合板特征值响应灵敏度系数的控制方程,基于BSWI(B-spline wavelet on the interval)样条小波有限元方法,利用二分法求得了四边固支复合材料层合板前四阶特征值对材料密度的灵敏度系数,并与有限差分法所得结果相比较,证明了该文所提出方法的可靠性。另外,该方法能够方便地拓展到复杂层合板壳结构以及智能材料层合板特征值灵敏度系数的求解问题中去。
In the process of structural optimization, accurate structural parameter sensitivity analysis is one of the most important difficulties. Based on the Hamiltonian system, the governing equation of the sensitivity coefficient of the eigenvalue response of composite laminates is deduced. Based on the BSWI (spline wavelet on the interval) spline wavelet finite element method, The sensitivity coefficient of the fourth-order eigenvalue of the plywood to the material density is compared with the result of the finite difference method, which proves the reliability of the proposed method. In addition, this method can be easily extended to solve complex laminar shell structure and smart material laminates eigenvalue sensitivity coefficient.